An incremental learning of neural network with multiplication units for function approximation

Dazi Li, Kotaro Hirasawa, Jinglu Hu, Kiyoshi Wada

Research output: Contribution to journalArticle

Abstract

This paper presents a constructive neural network with sigmoidal units and multiplication units, which can uniformly approximate any continuous function on a compact set in multi-dimensional input space. This network provides a more efficient and regular architecture compared to existing higher-order feedforward networks while maintaining their fast learning property. Proposed network provides a natural mechanism for incremental network growth. Simulation results on function approximation problem are given to highlight the capability of the proposed network. In particular, self-organizing process with RasID learning algorithm developed for the network is shown to yield smooth generation and steady learning.

Original languageEnglish
Pages (from-to)135-140
Number of pages6
JournalResearch Reports on Information Science and Electrical Engineering of Kyushu University
Volume8
Issue number2
Publication statusPublished - 2003 Sep 1

Keywords

  • Function approximation
  • Higher order neural networks
  • Multiplication units
  • Random search
  • Sigmoidal units

ASJC Scopus subject areas

  • Computer Science(all)
  • Electrical and Electronic Engineering

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